Numerical-Experimental Model and Polynomial Regression Method for Interpretation of G-BHN Relation of Kraft-Based Fibrous Composites Evaluated by Using Brinell Analysis

Abstract:

This research focused on the mathematical model that could be simplified as the series function. This function used for macroscopic explanation of the relationship between shear modulus and Brinell hardness of fibrous composites. Kraft paper was used as the sample for this testing. The paper-grammage was varied as following: 150, 230, and 420, whereas, the dwell time of indentation was ranging as: 10, 20, and 30 seconds, respectively. And then, the correlation between shear modulus (G) and Brinell Hardness Number (BHN) was obtained by using the simulation of experimental results. These were collected by the Brinell hardness testing machine. After that, the refitting process was analyzed using the polynomial based on linear and quadratic model, respectively. It was found that the interpretation of G-BHN relation using the quadratic be better than the linear one. Because of the coefficient of determination (R²) that analyzed by quadratic function present in higher value than another one.

• Periodical: Key Engineering Materials (Volume 798)
• Pages: 370-375
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.798.370
• Online since: April 2019
• Authors: Rakdiaw Muangma*, Supattra Wongsaenmai, Tawat Soitong
• Keywords: Brinell Analysis, Kraft-Based Fibrous Composites, Numerical-Experimental Model, Polynomial Regression Method

References

[1] K.L. Spence, R.A. Venditti, Y. Habibi, O.J. Rojas, and J.J. Pawlak, The effect of chemical composition on microfibrillar cellulose films from wood pulps: Mechanical processing and physical properties, Bioresource Technology 101 (2010) 5961–5968.

DOI: 10.1016/j.biortech.2010.02.104

[2] K. Sojiphan, P. Jitruktham, R. Theachawannasest, and A. Nakornfang, Effect of post-weld heat treatment on changes in the heat affected zone grain size and hardness in dissimilar welds of power plant boiler tubes grade ASTM SA213TP347H and grade ASTM SA213-T22, The Conference of International Welding and Inspection Technology (2017) 98 –105.

[3] S.G. Psakhie, E.V. Shilko, A.S. Grigoriev, S.V. Astafurov, A.V. Dimaki, and A.Y. Smolin, A mathematical model of particle–particle interaction for discrete element-based modeling of deformation and fracture of heterogeneous elastic–plastic materials, Engineering Fracture Mechanics 130 (2014) 96–115.

DOI: 10.1016/j.engfracmech.2014.04.034

[4] R. Muangma, Contrivance and modification of in-house Brinell hardness tester for BHN determination of soft materials, Siam Physics Congress 2018: submitted to Journal of Physics: Conference Series (2018).

DOI: 10.1088/1742-6596/1144/1/012111

[5] R. Muangma, M. Thepnurat, M. Somphruek, T. Fung-Fuang, W. Pulsawad, and S. Kamtaeja, Investigation of macro hardness testing on paper-based fibrous composites evaluated by using Brinell technique, The 1st MRS Thailand International Conference (2017) 321 – 333.

[6] A. Kaymakci and N. Ayrilmis, Investigation of correlation between Brinell hardness and tensile strength of wood plastic composites, Composites: Part B 58 (2014) 582–585.

DOI: 10.1016/j.compositesb.2013.11.009

[7] T. Zhang, Q. Zhang, and Q. Wang, Model detection for functional polynomial regression, Computational Statistics and Data Analysis 70 (2014) 183–197.

DOI: 10.1016/j.csda.2013.09.007